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Finding the Fourth Proportional to 55,371.78, 83,068.61 and 20,311.74

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Solution

The fourth proportional to 55,371.78, 83,068.61 and 20,311.74 is: 30,471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,371.78 : 83,068.61 = 20,311.74 : x
  2. Step 2: Convert to fraction form
    55,371.78/83,068.61 = 20,311.74/x
  3. Step 3: Cross multiply
    55,371.78x = 83,068.61 × 20,311.74
  4. Step 4: Simplify right side
    55,371.78x = 1,687,268,008.48
  5. Step 5: Solve for x
    x = 1,687,268,008.48/55,371.78
  6. Step 6: Final answer
    x = 30,471.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.